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sattari [20]
3 years ago
5

Given the function f(x) = 4x2 – 2x4, determine the derivative of f at

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

I'm bout to roast yo old potatoe head looking a*s

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Someone help me with 12 I don’t understand stand this question someone please help me with work shown
allochka39001 [22]
2x+8+ 120= 180
Combine like terms so 8+120=128

2x+8+ 120= 180
2x+128=180
-128=-128 ( to both side)
2x= 52 You divide now
2x/2= 52/2
x= 26
There is your answer :)
5 0
3 years ago
A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 − x2. (a) Draw a graph of this problem.
gtnhenbr [62]

Answer:

  • (a) see attached
  • (b) width: 2x; height: y = 9-x²
  • (c) A=2x(9-x²) . . . 0 ≤ x ≤ 3
  • (d) dA/dx = -6x² +18; x=±√3
  • (e) 12√3 units²

Step-by-step explanation:

(a) The attachment shows the graph of the parabola in blue. It also shows an inscribed rectangle in black.

(b) The upper right point of the rectangle is shown in the attachment as (x, y). The dimension y is the height of the rectangle. The x-dimension is half the width of the rectangle, which is symmetrical about the y-axis. Hence the width is 2x.

(c) As with any rectangle, the area is the product of length and width:

... A = (2x)(9 -x²) . . . . . the attachment shows a graph of this

... A = -2x³ +18x . . . . . expanded form suitable for differentiation

A suitable domain for A is where both x and A are non-negative: 0 ≤ x ≤ 3.

(d) The derivative of A with respect to x is ...

... A' = -6x² +18

This is defined everywhere, so the critical values will be where A' = 0.

... 0 = -6x² +18

... 3 = x² . . . . . . . divide by -6, add 3

... √3 = x . . . . . . . -√3 is also a solution, but is not in the domain of A

(e) The rectangle will have its largest area where x=√3. That area is ...

... A = 2x(9 -x²) = 2√3(9 -(√3)²) = 2√3(6)

... A = 12√3 . . . . square units . . . . ≈ 20.785 units²

7 0
3 years ago
Is it possible for a system of linear equations to have exactly one solution?
Elanso [62]
No, it's not possible
8 0
3 years ago
Read 2 more answers
-6 (-2/3)<br> How is it solved
Mars2501 [29]
You multiply -6 and -2/3. Which is 4
5 0
2 years ago
Read 2 more answers
The equation y=mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?
DedPeter [7]

Answer:

I believe C

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
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